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About a problem of Hermite and Biehler
Published online by Cambridge University Press: 09 April 2009
Abstract
A point of departure for this paper is the famous theorem of Hermite and Biehler: If f (z) is a polynomial with complex coefficients ak and its zeros zk satisfy Im Zk < 0, then the polynomials with coefficients Re ak, and Im ak have only real zeros.
We generalize this theorem for some entire functions. The entire functions in Theorem 2 and Theorem 3 are of first and second genus respectively.
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- Research Article
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- Copyright © Australian Mathematical Society 2002
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